Geometric Control of Patterned Linear Systems

This monograph is aiming at researchers of systems control, especially those interested in multiagent systems, distributed and decentralized control, and structured systems. The book assumes no prior background in geometric control theory; however, a firs

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Editors Professor Dr.-Ing. Manfred Thoma Institut fuer Regelungstechnik, Universität Hannover, Appelstr. 11, 30167 Hannover, Germany E-mail: [email protected] Professor Dr. Frank Allgöwer Institute for Systems Theory and Automatic Control, University of Stuttgart, Pfaffenwaldring 9, 70550 Stuttgart, Germany E-mail: [email protected] Professor Dr. Manfred Morari ETH/ETL I 29, Physikstr. 3, 8092 Zürich, Switzerland E-mail: [email protected] Series Advisory Board P. Fleming University of Sheffield, UK P. Kokotovic University of California, Santa Barbara, CA, USA A.B. Kurzhanski Moscow State University, Russia H. Kwakernaak University of Twente, Enschede, The Netherlands A. Rantzer Lund Institute of Technology, Sweden J.N. Tsitsiklis MIT, Cambridge, MA, USA

For further volumes: http://www.springer.com/series/642

Sarah C. Hamilton and Mireille E. Broucke

Geometric Control of Patterned Linear Systems

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Authors Sarah C. Hamilton Department of Electrical and Computer Engineering University of Toronto Toronto, Ontario Canada

Mireille E. Broucke Department of Electrical and Computer Engineering University of Toronto Toronto, Ontario Canada

ISSN 0170-8643 e-ISSN 1610-7411 ISBN 978-3-642-28803-6 e-ISBN 978-3-642-28804-3 DOI 10.1007/978-3-642-28804-3 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012933324 c Springer-Verlag Berlin Heidelberg 2012  This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. Th